For this case we have:
By definition, an acute angle is less than 90º.
In addition, having a rectangular triangle, the sine of an angle is given by the leg opposite that angle divided by the hypotenuse of the triangle. So:
Observing the triangle of the attached image we have:
[tex]Sin (x)= \frac {5} {13}[/tex]
So,[tex]Sin (x)= \frac {5} {13}[/tex]
Answer:
[tex]Sin (x)= \frac {5} {13}[/tex]
Option D
